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Finding the Third Proportional to 55,950 and 80,917

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Solution

The third proportional to 55,950 and 80,917 is: 117,025.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,950 : 80,917 = 80,917 : x
  2. Step 2: Convert to fraction form
    55,950/80,917 = 80,917/x
  3. Step 3: Cross multiply
    55,950x = 80,917 × 80,917
  4. Step 4: Simplify right side
    55,950x = 6,547,560,889
  5. Step 5: Solve for x
    x = 6,547,560,889/55,950
  6. Step 6: Final answer
    x = 117,025.22

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.